Bounded-variable fragments of hybrid logics

  • Authors:
  • Thomas Schwentick;Volker Weber

  • Affiliations:
  • Fachbereich Informatik, Universität Dortmund, Germany;Fachbereich Informatik, Universität Dortmund, Germany

  • Venue:
  • STACS'07 Proceedings of the 24th annual conference on Theoretical aspects of computer science
  • Year:
  • 2007

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Abstract

Hybrid logics extend modal logics by first-order concepts, in particular they allow a limited use of variables. Unfortunately, in general, satisfiability for hybrid formulas is undecidable and model checking is PSPACE-hard. It is shown here that on the linear frame (ω, For the upper bound, a result of independent interest is found: Nonemptiness for alternating two-way Büchi automata with one pebble is EXPSPACE-complete.